Exam

I think, firstly you should solve DPPs and sheets provided by the coaching institutions (better if you solve sheet of any coaching center of Kota.).Then, you can follow CINGAGE book.

Yes, you have to give JEE Main to get admission in ICT, Mumbai University. Cutoff varies every year, but a rank below 10k to 12k will do the trick. If you are from Maharashtra, then stats may be different.

To get an accurate answer, you should mention your category. If you are a boy in general category, then you might not get any good government college. If you are a girl, then you would get a good state government college like, College Of Technology, Patnagar.

The last date of registration for 2017 admission is June 15, 2017 . You will get admission on the basis of your MAT score. If you are keen on taking admission please register yourself with IBS admissions department as early as possible.
Try to do the registration before June 10, 2017.

You can use the book A.D.Gupta. It is the most valued book to practice any topic on mathematics. I would sincerely suggest you to practice according to that book.

If you do not want to drop, then you have to join the college you are getting. It seems, you have cut your choice yourself, still it would be better if you think again.

To wisely prepare for your JEE 2018, you can join any good coaching institute. They will give you proper guidance, and then you can ask your senior for dropper batch modules which contain most of the probable topics for your exam.

Firstly, prefer NCERT than HC Verma for physics and CENGAGE for math and for chemistry, NCERT and previous years’ question of all three subjects is also must.

That score is good enough to get admission in any good state government engineering college for instance, College Of Technology, Pantnagar and many more.

You should have specified your category, but considering you to be in general category your JEE score would not land you any NIT or any other good engineering government college.